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On isolated singularities and generic regularity of min-max CMC hypersurfaces

Bellettini, Costante et al.
arXiv (OAI Expanded) · Papers
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53c21analysis-of-pdesdifferential-geometry
In compact Riemannian manifolds of dimension 3 or higher with positive Ricci curvature, we prove that every constant mean curvature hypersurface produced by the Allen-Cahn min-max procedure of Bellettini-Wickramasekera (with constant prescribing function) is a local minimiser of the natural area-typ
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